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Introduction to Digital Signal Processing
Copyrigth Page
Contents
Preface
Acknowledgements
Chapter 1. The basics
1.1 Chapter preview
1.2 Analogue signal processing
1.3 An alternative approach
1.4 The complete DSP system
1.5 Recap
1.6 Digital data processing
1.7 The running average filter
1.8 Representation of processing systems
1.9 Self-assessment test
1.10 Feedback (or recursive) filters
1.11 Self-assessment test
1.12 Chapter summary
1.13 Problems
Chapter 2. Discrete signals and systems
2.1 Chapter preview
2.2 Signal types
2.3 The representation of discrete signals
2.4 Self-assessment test
2.5 Recap
2.6 The z-transform
2.7 z-Transform tables
2.8 Self-assessment test
2.9 The transfer function for a discrete system
2.10 Self-assessment test
2.11 MATLAB and signals and systems
2.12 Recap
2.13 Digital signal processors and the z-domain
2.14 FIR filters and the z-domain
2.15 IIR filters and the z-domain
2.16 Self-assessment test
2.17 Recap
2.18 Chapter summary
2.19 Problems
Chapter 3. The z-plane
3.1 Chapter preview
3.2 Poles, zeros and the s-plane
3.3 Pole-zero diagrams for continuous signals
3.4 Self-assessment test
3.5 Recap
3.6 From the s-plane to the z-plane
3.7 Stability and the z-plane
3.8 Discrete signals and the z-plane
3.9 Zeros
3.10 The Nyquist frequency
3.11 Self-assessment test
3.12 The relationship between the Laplace and z-transform
3.13 Recap
3.14 The frequency response of continuous systems
3.15 Self-assessment test
3.16 The frequency response of discrete systems
3.17 Unstable systems
3.18 Self-assessment test
3.19 Recap
3.20 Chapter summary
3.21 Problems
Chapter 4. The design of IIR filters
4.1 Chapter preview
4.2 Filter basics
4.3 FIR and IIR filters
4.4 The direct design of IIR filters
4.5 Self-assessment test
4.6 Recap
4.7 The design of IIR filters via analogue filters
4.8 The bilinear transform
4.9 Self-assessment test
4.10 The impulse-invariant method
4.11 Self-assessment test
4.12 Pole-zero mapping
4.13 Self-assessment test
4.14 MATLAB and s-to-z transformations
4.15 Classic analogue filters
4.16 Frequency transformation in the s-domain
4.17 Frequency transformation in the z-domain
4.18 Self-assessment test
4.19 Recap
4.20 Practical realization of IIR filters
4.21 Chapter summary
4.22 Problems
Chapter 5. The design of FIR filters
5.1 Chapter preview
5.2 Introduction
5.3 Phase-linearity and FIR filters
5.4 Running average filters
5.5 The Fourier transform and the inverse Fourier transform
5.6 The design of FIR filters using the Fourier transform or 'windowing' method
5.7 Windowing and the Gibbs phenomenon
5.8 Highpass, bandpass and bandstop filters
5.9 Self-assessment test
5.10 Recap
5.11 The discrete Fourier transform and its inverse
5.12 The design of FIR filters using the 'frequency sampling' method
5.13 Self-assessment test
5.14 Recap
5.15 The fast Fourier transform and its inverse
5.16 MATLAB and the FFT
5.17 Recap
5.18 A final word of warning
5.19 Chapter summary
5.20 Problems
Answers to self-assessment tests and problems
References and bibliography
Appendix A: Some useful Laplace and z-transforms
Appendix B: Frequency transformations in the s- and z - domains
Index
Introduction to Digital Signal Processing
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Essential Electronics Series Introduction to Digital Signal Processing Bob Meddins School of Information Systems University of East Anglia, UK Newnes OXFORD AUCKLAND BOSTON JOHANNESBURG MELBOURNE NEW DELHI
Newnes an imprint of Butterworth-Heinemann Linacre House, Jordan Hill, Oxford OX2 8DP 225 Wildwood Avenue, Woburn, MA 01801-2041 A division of Reed Educational and Professional Publishing Ltd " ~ A member of the Reed Elsevier plc group First published 2000 9 2000 Bob Meddins All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronically or mechanically, including photocopying, recording or any information storage or retrieval system, without either prior permission in writing from the publisher or a licence permitting restricted copying. In the United Kingdom such licences are issued by the Copyright Licensing Agency: 90 Tottenham Court Road, London W 1P 0LP. Whilst the advice and information in this book are believed to be true and accurate at the date of going to press, neither the author nor the publisher can accept any legal responsibility or liability for any errors or omissions that may be made. British Library Cataloguing in Publication Data A catalogue record for his book is available from the British Library ISBN 0 7506 5048 6 Typeset in 10.5/13.5 New Times Roman by Replika Press Pvt Ltd, 100% EOU, Delhi 110 040, India Printed and bound in Great Britain by MPG Books, Bodmin. LANT A E FOR EVERY TITLE THAT WE PUBLISH, BUTTERWORTH-HEINEMANN WILL PAY FOR BTCV TO PLANT AND CARE FOR A TREE.
Series Preface In recent years there have been many changes in the structure of undergraduate courses in engineering and the process is continuing. With the advent of modularization, semesterization and the move towards student-centred learning as class contact time is reduced, students and teachers alike are having to adjust to new methods of learning and teaching. Essential Electronics is a series of textbooks intended for use by students on degree and diploma level courses in electrical and electronic engineering and related courses such as manufacturing, mechanical, civil and general engineering. Each text is complete in itself and is complementary to other books in the series. A feature of these books is the acknowledgement of the new culture outlined above and of the fact that students entering higher education are now, through no fault of their own, less well equipped in mathematics and physics than students of ten or even five years ago. With numerous worked examples throughout, and further problems with answers at the end of each chapter, the texts are ideal for directed and independent learning. The early books in the series cover topics normally found in the first and second year curricula and assume virtually no previous knowledge, with mathematics being kept to a minimum. Later ones are intended for study at final year level. The authors are all highly qualified chartered engineers with wide experience in higher education and in industry. R G Powell Jan 1995 Nottingham Trent University
To the memory of my father John Reginald (Reg) Meddins (1914-1974) and our son Huw (1977-1992)
Contents Preface Acknowledgements Chapter 1 The basics Chapter preview Analogue signal processing An alternative approach The complete DSP system Recap Digital data processing The running average filter Representation of processing systems Self-assessment test Feedback (or recursive) filters Self-assessment test Chapter summary Problems Chapter 2 Discrete signals and systems Chapter preview Signal types The representation of discrete signals Self-assessment test Recap The z-transform z-Transform tables Self-assessment test The transfer function for a discrete system Self-assessment test MATLAB and signals and systems Recap Digital signal processors and the z-domain FIR filters and the z-domain IIR filters and the z-domain Self-assessment test Recap Chapter summary Problems 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 1.12 1.13 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 xi xii 1 1 1 2 3 7 7 7 9 10 10 12 13 13 16 16 16 17 21 21 22 24 24 24 28 29 30 31 33 34 38 39 39 40
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